A maximal covering location model in the presence of partial coverage

Ambulance location for maximum survival

“…While this is a step in the right direction, it is ad-hoc and rather limited. More recently, Karasakal and Karasakal (2004) and Berman, Krass, and Drezner (2003) independently introduced coverage models where coverage decays gradually with distance. Karasakal and Karasakal (2004) focus on algorithmic issues, and they design a Lagrangian heuristic to solve the problem.…”

“…More recently, Karasakal and Karasakal (2004) and Berman, Krass, and Drezner (2003) independently introduced coverage models where coverage decays gradually with distance. Karasakal and Karasakal (2004) focus on algorithmic issues, and they design a Lagrangian heuristic to solve the problem. In their computational experiments, they assume that coverage changes from 1 (full coverage) to 0 (no coverage) in a narrower interval than would be appropriate for the context we focus on, where survival probability might decay gradually from around 30% to 5% when response time varies from 0 to 10 minutes.…”

“…We also emphasize estimation of the benefit of using a finer graduation than 0-1 coverage. While Karasakal and Karasakal (2004) report on spatial differences between optimal solutions to their model and corresponding instance of the standard max cover model, they do not address differences in the objective function value-the measure of quality of service.…”

Research on Parking Location Problems for Bicycle-sharing under Shared Economic Background

“…After the changes, the objective function still keeps linear, and former problem will be solved more easily after the difficulty constraints are absorbed. The literatures [14][15][16] introduce the application of the LaGrange and heuristic algorithm in site selection and optimization of combination.…”

Service District Optimization: Usage of Facility Location Methods and Geographic Information Systems to Analyze and Optimize Urban Food Retail Distribution

“…An acceptable upper limit for the service distance should best represents a point of indifference between costs of travel and individual demand for a product. This is especially important when considering a basic assumption of "binary coverage" in almost all covering models up to date: demand points are covered completely if located within the critical distance of the facility and not covered at all outside of the critical distance (although there have been approaches to account for "partial coverage" in relation to distance from a facility such as Karasakal and Karasakal (2004)). In this application, the service distance of a food retail outlet should resemble a barrier after which it is no longer practicable to bear the periodic travel to and from the outlet based on a means of transportation.…”